已知A=8x^2y-6xy^2-3xy,B=7xy^2-2xy+5x^2y,A+B-3C=0,求C-A

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已知A=8x^2y-6xy^2-3xy,B=7xy^2-2xy+5x^2y,A+B-3C=0,求C-A

已知A=8x^2y-6xy^2-3xy,B=7xy^2-2xy+5x^2y,A+B-3C=0,求C-A
已知A=8x^2y-6xy^2-3xy,B=7xy^2-2xy+5x^2y,A+B-3C=0,求C-A

已知A=8x^2y-6xy^2-3xy,B=7xy^2-2xy+5x^2y,A+B-3C=0,求C-A
C-A
=(A+B)/3-A
=B/3-2A/3
=-2(8x²y-6xy²-3xy)/3+(7xy²-2xy+5x²y)/3
=(-16x²y+12xy²+6xy)/3+(xy²-2xy+5x²y)/3
=(-11x²y+13xy²+4xy )/3

A+B=13x^2y+xy^2-5xy
C=1/3(13x^2y+xy^2-5xy)
C-A=-11/3x^2y+19/3xy^2+4/3xy